Concave polygons
Polygons in which the inside angle of at least one vertex is greater than 180°.
A concave polygon is a polygon that has at least one angle that is greater than 180 degrees (convex polygon angles are always less than 180 degrees). This means that the polygon has at least one “dip” or “inward curve”.
Here are some characteristics of concave polygons:
1. It has at least one interior angle greater than 180 degrees. This angle is also known as an obtuse angle.
2. The opposite of a concave polygon is a convex polygon, which has all interior angles less than 180 degrees.
3. A concave polygon can have any number of sides, starting from three or more.
4. A concave polygon may or may not be symmetric, meaning that it may or may not have one or more lines of symmetry.
5. When calculating the area of a concave polygon, we need to break it down into smaller convex pieces and add the areas together.
6. Some real-life examples of concave polygons include caves, the shape of some leaves.
It is important to note that when dealing with concave polygons, it is crucial to specify the type of concavity present. This is because concave polygons can be of different types, such as simple concave polygons, self-intersecting concave polygons, and star-shaped concave polygons.
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